关于左正定t．o－半群

ON LEFT POSITIVELY T.O-SEMIGROUPS

作为正定ｔ．ｏ－半群的推广，研究了左正定ｔ．ｏ－半群的性质和结构问题，给出了左正定ｔ．ｏ－半群的嵌入定理和ｏ－Ａｒｃｈｉｍｅｄｅａｎ左正定ｔ．ｏ－半群的判定定理，讨论了左正定ｔ．ｏ－半群的Ｇｒｅｅｎ关系。

The aim of this paper is to extend postitively t. o-semigroups and study some,proper-ties and strueture of left positively t.o-semigroups.We give an embedding theorem of left posi-tively t.o-semigrotips and a criterion for O- Archimedean left positively t.osemigroups.We char-acterlze some Green's relations of left positively t.o-semigroups.